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July/August 2018 Uniform asymptotic stability of a discontinuous predator-prey model under control via non-autonomous systems theory
E.M. Bonotto, J. Costa Ferreira, M. Federson
Differential Integral Equations 31(7/8): 519-546 (July/August 2018).

Abstract

The present paper deals with uniform stability for non-autonomous impulsive systems. We consider a non-autonomous system with impulses in its abstract form and we present conditions to obtain uniform stability, uniform asymptotic stability and global uniform asymptotic stability using Lyapunov functions. Using the results from the abstract theory we present sufficient conditions for a controlled predator-prey model under impulse conditions to be globally uniformly asymptotically stable.

Citation

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E.M. Bonotto. J. Costa Ferreira. M. Federson. "Uniform asymptotic stability of a discontinuous predator-prey model under control via non-autonomous systems theory." Differential Integral Equations 31 (7/8) 519 - 546, July/August 2018.

Information

Published: July/August 2018
First available in Project Euclid: 11 May 2018

zbMATH: 06890403
MathSciNet: MR3801823

Subjects:
Primary: 34A34, 34A37, 34D05, 92B05, 93C15

Rights: Copyright © 2018 Khayyam Publishing, Inc.

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Vol.31 • No. 7/8 • July/August 2018
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